A new extension of Kannan’s fixed point theorem via F-contraction with application to integral equations
Pradip Debnath
Abstract
Our aim is to introduce an updated and real generalization of Kannan’s fixed point theorem with the help of [Formula: see text]-contraction introduced by Wardowski for single-valued mappings. Our result can be useful to ascertain the existence of fixed point for a family of mappings for which neither the Wardowski’s result nor that of Kannan can be applied directly. Our result has been applied to solve a particular type of integral equation. Finally, we establish a Reich-type extended version of the main result.
Topics & Concepts
MathematicsFixed-point theoremFixed pointContraction (grammar)GeneralizationExtension (predicate logic)Coincidence pointDiscrete mathematicsPure mathematicsMathematical analysisComputer scienceProgramming languageMedicineInternal medicineFixed Point Theorems Analysis